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Finding the Fourth Proportional to 213,085.80, 319,407.30 and 86,671.80

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Solution

The fourth proportional to 213,085.80, 319,407.30 and 86,671.80 is: 129,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.80 : 319,407.30 = 86,671.80 : x
  2. Step 2: Convert to fraction form
    213,085.80/319,407.30 = 86,671.80/x
  3. Step 3: Cross multiply
    213,085.80x = 319,407.30 × 86,671.80
  4. Step 4: Simplify right side
    213,085.80x = 27,683,605,624.14
  5. Step 5: Solve for x
    x = 27,683,605,624.14/213,085.80
  6. Step 6: Final answer
    x = 129,917.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.